The Degasperis-Procesi equation on the half-line

Nonlinear Sciences – Exactly Solvable and Integrable Systems

Scientific paper

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22 pages, 4 figures

Scientific paper

We analyze a class of initial-boundary value problems for the
Degasperis-Procesi equation on the half-line. Assuming that the solution
$u(x,t)$ exists, we show that it can be recovered from its initial and boundary
values via the solution of a Riemann-Hilbert problem formulated in the plane of
the complex spectral parameter $k$.

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